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Simplifying 5(s + -8) = 7(3s + 1) + -15 Reorder the terms: 5(-8 + s) = 7(3s + 1) + -15 (-8 * 5 + s * 5) = 7(3s + 1) + -15 (-40 + 5s) = 7(3s + 1) + -15 Reorder the terms: -40 + 5s = 7(1 + 3s) + -15 -40 + 5s = (1 * 7 + 3s * 7) + -15 -40 + 5s = (7 + 21s) + -15 Reorder the terms: -40 + 5s = 7 + -15 + 21s Combine like terms: 7 + -15 = -8 -40 + 5s = -8 + 21s Solving -40 + 5s = -8 + 21s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-21s' to each side of the equation. -40 + 5s + -21s = -8 + 21s + -21s Combine like terms: 5s + -21s = -16s -40 + -16s = -8 + 21s + -21s Combine like terms: 21s + -21s = 0 -40 + -16s = -8 + 0 -40 + -16s = -8 Add '40' to each side of the equation. -40 + 40 + -16s = -8 + 40 Combine like terms: -40 + 40 = 0 0 + -16s = -8 + 40 -16s = -8 + 40 Combine like terms: -8 + 40 = 32 -16s = 32 Divide each side by '-16'. s = -2 Simplifying s = -2
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